Least Common Multiple of 7262/496, 8472/7819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7262/496, 8472/7819 quickly i.e. 30761832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7262/496, 8472/7819 is 30761832.

LCM(7262/496, 8472/7819) = 30761832

LCM of 7262/496, 8472/7819

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7262/496,8472/7819

Given numbers are 7262/496,8472/7819

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 7262,8472

Least Common Multiple of Numerators i.e. LCM of 7262,8472 is 30761832.

GCF of Denominators means GCF of 496,7819 as per the given fractions.

GCF of 496,7819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7262,8472

LCM of Fractions 7262/496,8472/7819 is 30761832

2 7262, 8472
3631, 4236

∴ So the LCM of the given numbers is 2 x 3631 x 4236 = 30761832

Least Common Multiple of 7262,8472 with GCF Formula

Least Common Multiple of 7262,8472 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 7262,8472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7262,8472) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(7262,8472) x common factors =2 x 1 = 2

LCM(7262,8472) = ( 7262 × 8472 ) / 2

LCM(7262,8472) = 61523664 / 2

LCM(7262,8472) = 30761832


Lets's calculate GCF of 496,7819

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30761832/1

Therefore the LCM of Fractions 7262/496,8472/7819 is 30761832

Greatest Common Factor of 496,7819 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,7819 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 7819

List of positive integer factors of 7819 that divides 7819 without a remainder.

1,7,1117,7819

Greatest Common Factor

We found the factors 496,7819 . The biggest common factor number is the GCF number.
So the greatest common factor 496,7819 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7262/496, 8472/7819

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 7262/496, 8472/7819?

Answer: LCM of Numerators as per given numbers 7262/496, 8472/7819 is

LCM of Numerators i.e. for 7262,8472 is 30761832

GCF of denominators i.e. for 496,7819 is 1.

Thus, LCM of Fractions is 30761832.Finally, LCM of Fractions for 7262/496, 8472/7819 is 30761832.